You seem to have missed my point. You have said more or less that all occult beliefs are functionally equivalent to "satanism" because satanism is an occult belief and shares much with many. If that was not what you meant when you said it, you said it badly. You then introduced the idea of Muslims characterizing all non-Muslims as "infidels" as an example.
I point out that although all non Muslims are infidels to them, this does not mean that all infidels are the same. The Muslims call us all infidels but they do not call us all Christians. That would be a large category mistake which they do not, as far as I know, make. You may consider "Satanism" a generic term for occult beliefs, but most would not. There are, for one thing, a fair number of deeply occult beliefs (or cults if you prefer) which espouse Christian ideas and oppose Satan as much as any mainstream Christian religions.
You can go round and round and try to justify sloppy categorization and a poor choice of words, but like it or not, dabbling in the occult does not make a person a satanist, and I have yet to see any evidence that Epstein was anything but a deviant, power hungry showman with bad taste.
And as an aside, not everyone has their children christened, and the choice is not binary.